Generalized perfect spaces
Given two Banach function spaces X and Y related to a measure μ, the Y-dual space XY of X is defined as the space of the multipliers from X to Y. The space XY is a generalization of the classical Köthe dual space of X, which is obtained by taking Y = Lt(μ). Under minimal conditions, we can consider...
| Autores: | ; ; |
|---|---|
| Tipo de documento: | Artículo |
| Estado: | Published version |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/103459 |
| Acceso en línea: | https://hdl.handle.net/11441/103459 https://doi.org/10.1016/S0019-3577(09)00008-1 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Banach function spaces Köthe dual Perfect spaces Fatou property p-Convexity p-Concavity |
| _version_ | 1878739715001155584 |
|---|---|
| author | Calabuig, J. M. |
| author2 | Delgado Garrido, Olvido Sánchez Pérez, E. A. |
| author2_role | author author |
| author_browse | Calabuig, J. M. Delgado Garrido, Olvido Sánchez Pérez, E. A. |
| author_facet | Calabuig, J. M. Delgado Garrido, Olvido Sánchez Pérez, E. A. |
| author_role | author |
| collection | idUS. Depósito de Investigación de la Universidad de Sevilla |
| description | Given two Banach function spaces X and Y related to a measure μ, the Y-dual space XY of X is defined as the space of the multipliers from X to Y. The space XY is a generalization of the classical Köthe dual space of X, which is obtained by taking Y = Lt(μ). Under minimal conditions, we can consider the Y-bidual space XYY of X (i.e. the Y-dual of XY). As in the classical case, the containment X ⊂ XYY always holds. We give conditions guaranteeing that X coincides with XYY, in which case X is said to be Y-perfect. We also study when X is isometrically embedded in XYY. Properties involving p-convexity, p-concavity and the order of X and Y, will have a special relevance. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_c6aa9a2e6b20407fa6833a11403e92f3 |
| institution | Universidad de Sevilla (US) |
| instname_str | Universidad de Sevilla (US) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:idus.us.es:11441/103459 |
| publishDate | 2008 |
| publishDateSort | 2008 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | idUS. Depósito de Investigación de la Universidad de Sevilla |
| spelling | Generalized perfect spaces Calabuig, J. M. Delgado Garrido, Olvido Sánchez Pérez, E. A. Banach function spaces Köthe dual Perfect spaces Fatou property p-Convexity p-Concavity Given two Banach function spaces X and Y related to a measure μ, the Y-dual space XY of X is defined as the space of the multipliers from X to Y. The space XY is a generalization of the classical Köthe dual space of X, which is obtained by taking Y = Lt(μ). Under minimal conditions, we can consider the Y-bidual space XYY of X (i.e. the Y-dual of XY). As in the classical case, the containment X ⊂ XYY always holds. We give conditions guaranteeing that X coincides with XYY, in which case X is said to be Y-perfect. We also study when X is isometrically embedded in XYY. Properties involving p-convexity, p-concavity and the order of X and Y, will have a special relevance. Generalitat Valenciana GVPRE/2008/312 Ministerio de Educación y Ciencia MTM2006-13000-C03-01 Elsevier https://hdl.handle.net/11441/103459 https://doi.org/10.1016/S0019-3577(09)00008-1 |
| spellingShingle | Generalized perfect spaces Calabuig, J. M. Banach function spaces Köthe dual Perfect spaces Fatou property p-Convexity p-Concavity |
| status_str | publishedVersion |
| title | Generalized perfect spaces |
| title_full | Generalized perfect spaces |
| title_fullStr | Generalized perfect spaces |
| title_full_unstemmed | Generalized perfect spaces |
| title_short | Generalized perfect spaces |
| title_sort | Generalized perfect spaces |
| topic | Banach function spaces Köthe dual Perfect spaces Fatou property p-Convexity p-Concavity |
| topic_facet | Banach function spaces Köthe dual Perfect spaces Fatou property p-Convexity p-Concavity |
| url | https://hdl.handle.net/11441/103459 https://doi.org/10.1016/S0019-3577(09)00008-1 |